In this paper we consider a four dimensional QCD-like model, which is non-conformal, at zero and finite temperature. The zero temperature model is dual to modified AdS\(_5\)  (MAdS) background and the finite temperature one is dual to a modified AdS\(_5\)  black hole (MBH) [1]}, [2]}. There is a thermal phase transition, in the MBH background, which occurs at the point that the position of the horizon approaches to the lower bound of the minimum value of the radial coordinate.
